Least Common Multiple (LCM) of 75 and 146
The least common multiple (LCM) of 75 and 146 is 10950.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 75 and 146?
First, calculate the GCD of 75 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 146 = 0 remainder 75 |
| 2 | 146 ÷ 75 = 1 remainder 71 |
| 3 | 75 ÷ 71 = 1 remainder 4 |
| 4 | 71 ÷ 4 = 17 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 111 | 15873 |
| 40 and 94 | 1880 |
| 200 and 50 | 200 |
| 153 and 143 | 21879 |
| 144 and 11 | 1584 |